( 846 ) 
the curve M—m for about a century backwards. .Though the relia-- 
bility of the observations of the sun before the time of SCHWABE'’s 
countings must -be relatively poor, we are yet justified in expecting 
that, if the 35 year period really exists, it must still be traceable 
with some approximation before 1833. The lowest points of the 
curve ought therefore to coincide approximately with the crosses at 
the bottom of our diagram, which crosses indicate the epochs of 
LockyrEr’s period, As I have shown already on a former occasion *), 
however, there is no trace of such a coincidence. 
B. In considering what precedes we feel some surprise at the 
fact that it has been deemed possible to derive a 35-year period 
from mutually dependent series of observations, which do not even 
extend over fully 70 years, i. e. over rather less than two periods. 
The same remark holds, still more strongly, for the other element: 
the total spotted area. For even in the diagram of Lockysr himself 
the curves for 1847—56 and 1879—90 show but little similarity. 
Meanwhile it would have been significant (although this would not 
have demonstrated the existence of the period) if the period 1901— 
1912 (?) had imitated in form and height those of 1834—1843 and 
1867—1879. We have already shown that such cannot be the case 
as far as the slope of the ascending line is concerned. Further, 
though the 11-year cycle is not yet complete, the fact has already 
been established that the curve representing the present period agrees 
least of all with the two just mentioned ones (as would be required 
by the 35-year period), nay that it resembles more nearly any 
other earlier 11-year period. 
In order to show this I have reproduced the curves of LOCKYER 
on the same scale and I have completed them in accordance with 
Wo.rer’s curve in the A. M. XCIII’*) — “ausgeglichene Relativ- 
zahlen” — further for the years 1901 to 1908, the curve has been 
drawn from the yearly averages, which have been published afterwards 
in the A. Mitt. The ordinates thus represent Worrer’s Relativzahlen 
(100 Lockyrr = 118 Worrer). For the very latest period I have 
made use of communications scattered in different papers. 
The smoothed yearly “RZ” since 1901 (2.7) are as follows: 
1902: 5.0 1904: 42.0 1906 : 53.8 
1903: 24.4 1905 : 63.5 1907 : 62.0 
1) G. Easton, Zur Periodizität d, solaren und klimatischen Schwankungen, Peterm. 
Mitteilungen 1905, 8, p. 169. 
?) Also in the Monthly Weather Review, Apr. 1902. 
